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Finding the Third Proportional to 171,248 and 227,224

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Solution

The third proportional to 171,248 and 227,224 is: 301,496.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,248 : 227,224 = 227,224 : x
  2. Step 2: Convert to fraction form
    171,248/227,224 = 227,224/x
  3. Step 3: Cross multiply
    171,248x = 227,224 × 227,224
  4. Step 4: Simplify right side
    171,248x = 51,630,746,176
  5. Step 5: Solve for x
    x = 51,630,746,176/171,248
  6. Step 6: Final answer
    x = 301,496.93

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.